Answer: answer 40.
Step-by-step explanation:
Note : lets make x the missing denominator.
I would take the 4/5 and set it equals to 32/x
we then cross multiply
where it would be 4 * x = 32 * 5
it would then be 4x = 160
we would then divide 160 by 4
x = 160/ 4
and x would be 40
.... therefore the missing denominator is 40.
Answer:
Step-by-step explanation:
this is an arithmetic series
and to find out the 9th term
1 second ....................... k feet
2 second...........................2.5 feet
3 sec.....................................4 feet
4 sec....................................5.5 feet
difference 1.5
5 sec................................7 feet
6 sec................................8.5
7 sec.................................10 ft
8
9second .............................................13 ft
Answer:
Verified


Step-by-step explanation:
Question:-
- We are given the following non-homogeneous ODE as follows:

- A general solution to the above ODE is also given as:

- We are to prove that every member of the family of curves defined by the above given function ( y ) is indeed a solution to the given ODE.
Solution:-
- To determine the validity of the solution we will first compute the first derivative of the given function ( y ) as follows. Apply the quotient rule.

- Now we will plug in the evaluated first derivative ( y' ) and function ( y ) into the given ODE and prove that right hand side is equal to the left hand side of the equality as follows:

- The equality holds true for all values of " C "; hence, the function ( y ) is the general solution to the given ODE.
- To determine the complete solution subjected to the initial conditions y (1) = 3. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:

- To determine the complete solution subjected to the initial conditions y (3) = 1. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:
